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Finding the Third Proportional to 64,283.50 and 131,699

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Solution

The third proportional to 64,283.50 and 131,699 is: 269,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,283.50 : 131,699 = 131,699 : x
  2. Step 2: Convert to fraction form
    64,283.50/131,699 = 131,699/x
  3. Step 3: Cross multiply
    64,283.50x = 131,699 × 131,699
  4. Step 4: Simplify right side
    64,283.50x = 17,344,626,601
  5. Step 5: Solve for x
    x = 17,344,626,601/64,283.50
  6. Step 6: Final answer
    x = 269,814.60

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.